- Title
- Integral input-to-state stability of interconnected iISS systems by means of a lower-dimensional comparison system
- Creator
- Rüffer, Björn S.; Kellett, Christopher M.; Weller, Steven R.
- Relation
- 48th IEEE Conference on Decision and Control, 2009 held jointly with the 28th Chinese Control Conference, 2009 (CDC/CCC 2009). Proceedings of the 48th IEEE Conference on Decision and Control 2009, held jointly with the 28th Chinese Control Conference 2009, CDC/CCC 2009 (Shanghai, China 15-18 December, 2009) p. 638-643
- Publisher Link
- http://dx.doi.org/10.1109/CDC.2009.5400344
- Publisher
- Institute of Electrical and Electronics Engineers (IEEE)
- Resource Type
- conference paper
- Date
- 2009
- Description
- We consider arbitrarily many interconnected integral Input-to-State Stable (iISS) systems in an arbitrary interconnection topology and provide an (i)ISS comparison principle for networks. We show that global asymptotic stability of the origin (GAS) of a lower-dimensional system termed the comparison system, which is based on the individual dissipative Lyapunov iISS inequalities, together with a scaling condition implies the existence of an iISS Lyapunov function of the composite system. A sufficient (but not necessary) condition for 0-GAS of the interconnection is shown in this paper to be the generalized small-gain condition derived by Dashkovskiy et al., but this time in a dissipative Lyapunov setting. We also provide geometric intuition behind growth rate conditions for the stability of cascaded iISS systems.
- Subject
- Lyapunov function; comparison principle; integral input-to-state stability; large-scale systems; small-gain condition
- Identifier
- http://hdl.handle.net/1959.13/918899
- Identifier
- uon:8734
- Identifier
- ISBN:9781424438723
- Rights
- Copyright © 2009 IEEE. Reprinted from the Proceedings of the 48th IEEE Conference on Decision and Control 2009, held jointly with the 28th Chinese Control Conference 2009, CDC/CCC 2009. This material is posted here with permission of the IEEE. Such permission of the IEEE does not in any way imply IEEE endorsement of any of University of Newcastle's products or services. Internal or personal use of this material is permitted. However, permission to reprint/republish this material for advertising or promotional purposes or for creating new collective works for resale or redistribution must be obtained from the IEEE by writing to pubs-permissions@ieee.org. By choosing to view this document, you agree to all provisions of the copyright laws protecting it.
- Language
- eng
- Full Text
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